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Finding the Third Proportional to 165.09 and 245.39

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Solution

The third proportional to 165.09 and 245.39 is: 364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.09 : 245.39 = 245.39 : x
  2. Step 2: Convert to fraction form
    165.09/245.39 = 245.39/x
  3. Step 3: Cross multiply
    165.09x = 245.39 × 245.39
  4. Step 4: Simplify right side
    165.09x = 60,216.56
  5. Step 5: Solve for x
    x = 60,216.56/165.09
  6. Step 6: Final answer
    x = 364.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.